27 citations · 165 across the 16 of their papers we have counts for
7 papers · 1 filter
Counting invariants and tensor model observables
Remi Cocou Avohou, Joseph Ben Geloun, Reiko Toriumi
invariants are constructed by contractions of complex tensors of order , also denoted . These tensors transform under fu…
One-loop beta-functions of quartic enhanced tensor field theories
Joseph Ben Geloun, Reiko Toriumi
Enhanced tensor field theories (eTFT) have dominant graphs that differ from the melonic diagrams of conventional tensor field theories. They therefore describe pertinent candidates…
Renormalizable Enhanced Tensor Field Theory: The quartic melonic case
Joseph Ben Geloun, Reiko Toriumi
Amplitudes of ordinary tensor models are dominated at large by the so-called melonic graph amplitudes. Enhanced tensor models extend tensor models with special scalings of thei…
Parametric Representation of Rank d Tensorial Group Field Theory: Abelian Models with Kinetic Term
Joseph Ben Geloun, Reiko Toriumi
We consider the parametric representation of the amplitudes of Abelian models in the so-called framework of rank Tensorial Group Field Theory. These models are called Abelian b…
Inconsistencies from a Running Cosmological Constant
Herbert W. Hamber, Reiko Toriumi
We examine the general issue of whether a scale dependent cosmological constant can be consistent with general covariance, a problem that arises naturally in the treatment of quant…
Wheeler-DeWitt Equation in 3 + 1 Dimensions
Herbert W. Hamber, Reiko Toriumi, Ruth M. Williams
Physical properties of the quantum gravitational vacuum state are explored by solving a lattice version of the Wheeler-DeWitt equation. The constraint of diffeomorphism invariance…
Wheeler-DeWitt Equation in 2 + 1 Dimensions
Herbert W. Hamber, Reiko Toriumi, Ruth M. Williams
The infrared structure of quantum gravity is explored by solving a lattice version of the Wheeler-DeWitt equations. In the present paper only the case of 2+1 dimensions is consider…